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Finding the Fourth Proportional to 10,469.40, 15,704.10 and 6,091.80

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Solution

The fourth proportional to 10,469.40, 15,704.10 and 6,091.80 is: 9,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.40 : 15,704.10 = 6,091.80 : x
  2. Step 2: Convert to fraction form
    10,469.40/15,704.10 = 6,091.80/x
  3. Step 3: Cross multiply
    10,469.40x = 15,704.10 × 6,091.80
  4. Step 4: Simplify right side
    10,469.40x = 95,666,236.38
  5. Step 5: Solve for x
    x = 95,666,236.38/10,469.40
  6. Step 6: Final answer
    x = 9,137.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.